Characterizations of Weaving K-frames
Functional Analysis
2019-12-03 v2
Abstract
In distributed signal processing frames play significant role as redundant building blocks. Bemrose et. al. were motivated from this concept, as a result they introduced weaving frames in Hilbert space. Weaving frames have useful applications in sensor networks, likewise weaving K-frames have been proved to be useful during signal reconstructions from the range of a bounded linear operator K. This article focuses on study, characterization of weaving K-frames in different spaces. Paley-Wiener type perturbation and conditions on erasure of frame components have been assembled to scrutinize woven-ness of K- frames.
Keywords
Cite
@article{arxiv.1907.08757,
title = {Characterizations of Weaving K-frames},
author = {Animesh Bhandari and Debajit Borah and Saikat Mukherjee},
journal= {arXiv preprint arXiv:1907.08757},
year = {2019}
}
Comments
9 pages